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Finding the Third Proportional to 2,794,126 and 6,111,296

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Solution

The third proportional to 2,794,126 and 6,111,296 is: 13,366,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794,126 : 6,111,296 = 6,111,296 : x
  2. Step 2: Convert to fraction form
    2,794,126/6,111,296 = 6,111,296/x
  3. Step 3: Cross multiply
    2,794,126x = 6,111,296 × 6,111,296
  4. Step 4: Simplify right side
    2,794,126x = 37,347,938,799,616
  5. Step 5: Solve for x
    x = 37,347,938,799,616/2,794,126
  6. Step 6: Final answer
    x = 13,366,590.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.